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Finding the Third Proportional to 42,088,232,648 and 91,585,690,816

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Solution

The third proportional to 42,088,232,648 and 91,585,690,816 is: 199,294,155,028.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,088,232,648 : 91,585,690,816 = 91,585,690,816 : x
  2. Step 2: Convert to fraction form
    42,088,232,648/91,585,690,816 = 91,585,690,816/x
  3. Step 3: Cross multiply
    42,088,232,648x = 91,585,690,816 × 91,585,690,816
  4. Step 4: Simplify right side
    42,088,232,648x = 8,387,938,762,243,947,102,208
  5. Step 5: Solve for x
    x = 8,387,938,762,243,947,102,208/42,088,232,648
  6. Step 6: Final answer
    x = 199,294,155,028.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.